??analogy geometric theory : artin-wraith glueing :: ag theory : ["blow-up" .... ??? ....] ???? ..... ???? ....

??"attaching fringe to bulk" ... ??toric context ... ??? fan poset ... "ideal as ring" ... ??? ...

??_is_ this idea we already tried that conspicuously didn't seem to work (??"artin-wraith glueing for coherent sheaves" ... ???? ...), or is this a different idea ??? ...